The Collected Papers of William Burnside

2 Volume set
Erscheinungsjahr 2004
ISBN: 978-0-19-850585-3
Verlag: Oxford University Press

Medienkombination, Englisch, 1616 Seiten, Format (B × H): 196 mm x 251 mm, Gewicht: 3536 g

William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deeper twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. His works are of enormous historical importance; they remain also a source of inspiration and information. The works of his contemporaries, such as Klein, Frobenius, Schur, have been published as also have the works of his immediate successors such as Phillip Hall.

All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.

This is the first reference volume of Burnside's collected papers, enhanced by a series of critical essays on his work, and is important for group theorists and historians and philosophers of mathematics and fills the gap in this area of literature.

Autoren/Hrsg.

Neumann, Peter M.

Mann, A.J.S.

Tompson, Julia

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Enzyklopädien, Nachschlagewerke, Wörterbücher
• Geisteswissenschaften Geschichtswissenschaft Geschichtswissenschaft Allgemein Biographien & Autobiographien: Historisch, Politisch, Militärisch

Inhaltsverzeichnis

- 1: List of contributors

- 2: Commentary on Burnside's Life and Work

- 3: Bibliography of William Burnside

- 4: The context of Burnside's contributions to group theory

- 56: A still unsettled questionBurnside and finite simple groups

- 7: Burnside's research on representation theory

- 8: Burnside's applied mathematics

- 9: 'William Burnside', reprinted from the Journal of the London Mathematical Society

- 10: Notes on Burnside's life

- 11: The Papers: Volume 1

- 12: The Papers Volume 2